Average Error: 0.1 → 0.1
Time: 31.4s
Precision: 64
\[0.9549296585513720181381813745247200131416 \cdot x - 0.1290061377327979819096270830414141528308 \cdot \left(\left(x \cdot x\right) \cdot x\right)\]
↓
\[0.9549296585513720181381813745247200131416 \cdot x - 0.1290061377327979819096270830414141528308 \cdot \left(\left(x \cdot x\right) \cdot x\right)\]
0.9549296585513720181381813745247200131416 \cdot x - 0.1290061377327979819096270830414141528308 \cdot \left(\left(x \cdot x\right) \cdot x\right)
↓
0.9549296585513720181381813745247200131416 \cdot x - 0.1290061377327979819096270830414141528308 \cdot \left(\left(x \cdot x\right) \cdot x\right)
double f(double x) {
        double r23940 = 0.954929658551372;
        double r23941 = x;
        double r23942 = r23940 * r23941;
        double r23943 = 0.12900613773279798;
        double r23944 = r23941 * r23941;
        double r23945 = r23944 * r23941;
        double r23946 = r23943 * r23945;
        double r23947 = r23942 - r23946;
        return r23947;
}
↓
double f(double x) {
        double r23948 = 0.954929658551372;
        double r23949 = x;
        double r23950 = r23948 * r23949;
        double r23951 = 0.12900613773279798;
        double r23952 = r23949 * r23949;
        double r23953 = r23952 * r23949;
        double r23954 = r23951 * r23953;
        double r23955 = r23950 - r23954;
        return r23955;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[0.9549296585513720181381813745247200131416 \cdot x - 0.1290061377327979819096270830414141528308 \cdot \left(\left(x \cdot x\right) \cdot x\right)\]

  2. Final simplification0.1

    \[\leadsto 0.9549296585513720181381813745247200131416 \cdot x - 0.1290061377327979819096270830414141528308 \cdot \left(\left(x \cdot x\right) \cdot x\right)\]

Reproduce

herbie shell --seed 2019323 +o rules:numerics
(FPCore (x)
  :name "Rosa's Benchmark"
  :precision binary64
  (- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x))))